$\begingroup$Yes. and consecutive fibonacci numbers are the solutions to it. But how to prove it? How to solve a polynomial equation with two variables and only one equation is given?$\endgroup$
– Ratul SarkarFeb 18 '19 at 5:38

1

$\begingroup$Please give more context. Providing context not only assures that this is not simply copied from a homework assignment, but also allows answers to be better directed at where the problem lies and to be within the proper scope. Please avoid "I have no clue" questions. Defining keywords and trying a simpler, similar problem often helps.$\endgroup$
– robjohn♦Feb 18 '19 at 7:46